Bayesian analysis of gravitational wave memory effect with TianQin
arxiv(2024)
摘要
The memory effect in gravitational waves is a direct prediction of general
relativity. The presence of the memory effect in gravitational wave signals not
only serves as a test for general relativity but also establishes connections
between soft theorem, and asymptotic symmetries, serving as a bridge for
exploring fundamental physics. Furthermore, with the ongoing progress in
space-based gravitational wave detection projects, the gravitational wave
memory effect generated by the merger of massive binary black hole binaries is
becoming increasingly significant and cannot be ignored. In this work, we
perform the full Bayesian analysis of the gravitational wave memory effect with
TianQin. The results indicate that the memory effect has a certain impact on
parameter estimation but does not deviate beyond the 1σ range.
Additionally, the Bayes factor analysis suggests that when the signal-to-noise
ratio of the memory effect in TianQin is approximately 2.36, the
log_10 Bayes factor reaches 8. This result is consistent with the
findings obtained from a previous mismatch threshold.
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